Question

What is the domain of the function showing in the graph below? part 1

Answer 1

Answer:

domain is x ∈ (- ∞, + ∞ )

Step-by-step explanation:

The graph shows

as y → - ∞ , x → - ∞

as y → + ∞ x → + ∞

The domain is therefore real for all values of x

domain is x ∈ (- ∞, + ∞ )

Answer 2

Answer:

  (-5, 2)

Step-by-step explanation:

Often, an arrow at the end of a graph indicates the graph extends to infinity in both the x- and y-directions. However, when the graph has a vertical asymptote at each end of its domain, it would have an arrow pointing upward, but not sideways.

It is difficult to tell from this graph what the intention is. It appears that there may be vertical asymptotes at x = -5 and at x = 2. If that is the case, then the domain is restricted to the interval ...

 -5 < x < 2

  (-5, 2) in interval notation

_____

The attachment is an example of a function that might give rise to a graph like this.